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2148938300 = 2252232773373
BaseRepresentation
bin1000000000010110…
…0011001000111100
312112202121101011102
42000011203020330
513400112011200
6553123112232
7104152450145
oct20005431074
95482541142
102148938300
11a03024173
124bb812678
13283293c32
14165588acc
15c89d26d5
hex8016323c

2148938300 has 72 divisors (see below), whose sum is σ = 4884958176. Its totient is φ = 818991360.

The previous prime is 2148938273. The next prime is 2148938333. The reversal of 2148938300 is 38398412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635414 + ... + 638786.

Almost surely, 22148938300 is an apocalyptic number.

2148938300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148938300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442479088).

2148938300 is an abundant number, since it is smaller than the sum of its proper divisors (2736019876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2148938300 is a wasteful number, since it uses less digits than its factorization.

2148938300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2148938300 is about 46356.6424582281. The cubic root of 2148938300 is about 1290.4503965811.

The spelling of 2148938300 in words is "two billion, one hundred forty-eight million, nine hundred thirty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 277 460 554 575 1108 1150 1385 2300 2770 3373 5540 6371 6746 6925 12742 13492 13850 16865 25484 27700 31855 33730 63710 67460 77579 84325 127420 155158 159275 168650 310316 318550 337300 387895 637100 775790 934321 1551580 1868642 1939475 3737284 3878950 4671605 7757900 9343210 18686420 21489383 23358025 42978766 46716050 85957532 93432100 107446915 214893830 429787660 537234575 1074469150 2148938300